Question

Line CD passes through points C (1,3) and D (4,-3). If the equation of the line is written in slope intercept form, y=my+b, what is the value of b?

Answer 1

Answer:

b=5

Step-by-step explanation:

C(1,3) and point D(4,-3)

Since we want the equation in slope intercept form we must first calculate the slope (m):

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{-3-3}{4-1}\\ \\m=\frac{-6}{3} \\\\m=-2$

By point slope formula and using point C (1,3) we have:$y-y_{1}=m(x-x_{1})\\\\y=m(x-x_{1})+y_{1}\\\\y=-2(x-1)+3\\\\y=-2x+2+3\\\\y=-2x+5$

So the slope is -2 and the y -intercept (b) is 5.

Answer 2

Answer: B

Step-by-step explanation: